Question

triangle ijk and triangle efk are drawn below. if $overline{ij}congoverline{ef}$, $angle icongangle e$, and $angle jcongangle f$, use the dropdown boxes below to determine a transformation that maps triangle ijk onto triangle efk. then use a congruence statement to explain why this is possible.

Explanation:

Step1: Identify transformation

A rotation about point K will map $\triangle IJK$ onto $\triangle EFK$. Since point K is common to both triangles, rotating $\triangle IJK$ around K will align the sides and angles properly.

Step2: State congruence criterion

We are given that $\overline{IJ}\cong\overline{EF}$, $\angle I\cong\angle E$, and $\angle J\cong\angle F$. By the Angle - Side - Angle (ASA) congruence criterion, $\triangle IJK\cong\triangle EFK$. This congruence allows for a transformation (rotation) to map one triangle onto the other.

Answer:

A rotation about point K; $\triangle IJK\cong\triangle EFK$ by ASA.